On discrete 2D integrable equations of higher order

We study two-dimensional discrete integrable equations of order 1 with respect to one independent variable and m with respect to another one. A generalization of the multidimensional consistency property is proposed for this type of equations. The examples are related to the Bäcklund-Darboux transfo...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2014-01, Vol.47 (4), p.45206-16
Main Authors: Adler, V E, Postnikov, V V
Format: Article
Language:English
Subjects:
3D-consistency
Bäcklund transformation
Consistency
evolutionary lattice equations
Independent variables
Lattices
Mathematical analysis
Transformations (mathematics)
Two dimensional
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Summary:We study two-dimensional discrete integrable equations of order 1 with respect to one independent variable and m with respect to another one. A generalization of the multidimensional consistency property is proposed for this type of equations. The examples are related to the Bäcklund-Darboux transformations for the lattice equations of Bogoyavlensky type.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/47/4/045206